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Finding the Fourth Proportional to 22,449.28, 30,982.72 and 13,018.24

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Solution

The fourth proportional to 22,449.28, 30,982.72 and 13,018.24 is: 17,966.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,449.28 : 30,982.72 = 13,018.24 : x
  2. Step 2: Convert to fraction form
    22,449.28/30,982.72 = 13,018.24/x
  3. Step 3: Cross multiply
    22,449.28x = 30,982.72 × 13,018.24
  4. Step 4: Simplify right side
    22,449.28x = 403,340,484.81
  5. Step 5: Solve for x
    x = 403,340,484.81/22,449.28
  6. Step 6: Final answer
    x = 17,966.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.